what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90

Answer:

if you factor it the answer is (x−5)(x−9)

Answer:

w = \(\frac{p -2l}{2}\)

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

\(\frac{p -2l}{2}\) = w

Elevation = 0 - 1050 × Time or Elevation = -1050t, where Elevation is in feet and Time is in hours, is the expression that describes the connection between the submarine's elevation and time.

Seconds, mins max, minutes, days, periods, months, and years are the fundamental elements of time. To determine the time of day, we use secs, minutes, as well as hours; to determine the date, we use times, months, and years. The lesser measures of time are seconds, minutes, and hours, while the larger ones are days, months, and years.

Assuming that the submarine is descending at a constant rate, we can use the equation:

Elevation = Initial Elevation - Rate × Time

where Initial Elevation is the starting elevation (in this case, the surface), Rate is the rate of descent, Time is the time elapsed, and Elevation is the current elevation.

In this case, the Initial Elevation is 0 feet (the surface), the Rate is -1050 feet per hour (since the submarine is descending at a rate of 1050 feet per hour), and Time is the elapsed time in hours.

Therefore, the equation that represents the relationship between the submarine's elevation and time is:

Elevation = 0 - 1050 × Time

or

Elevation = -1050t

where Elevation is in feet and Time is in hours.

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There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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a. The median age in the study is  6 years.

b. The mean age in the study is 10.9 years.

(a) To find the median age, we need to find the age at which 50% of the children are younger and 50% are older. Adding up the percentages provided in increasing order of age until the total just exceeds 50%, we have:

7% (age 3) + 19% (age 4) + 17% (age 5) + 39% (age 6) = 82%

This means that 82% of the children are three, four, five, or six years old. To find the median age, we need to find the age at which 41 out of the 175 children (50% of 175) are younger and 134 are older. Since 82% of the children are younger than age 7, and 7 is the oldest age group listed, we know that the median age is age 6.

Therefore, the median age in the study is 6 years.

(b) To find the mean age, we can use the formula:

mean = (sum of values) / (number of values)

We can calculate the sum of values by multiplying each age by the number of children with that age, and adding up the results:

(12 x 3) + (33 x 4) + (29 x 5) + (69 x 6) + (32 x 7) = 1902

So the sum of values is 1902.

The number of values is the total number of children in the sample, which is 175.

Therefore, the mean age is:

mean = 1902 / 175 ≈ 10.9

Rounding to one decimal place, the mean age in the study is 10.9 years.

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The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.

Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.

Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).

Next, we simplify the equation to 16.9 - x = 2 * space.

To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.

To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.

In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

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High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.

A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.

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Answer:

See below.

Step-by-step explanation:

4.

\( 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} \)

5.

\( \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} \)

6.

\( \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i \)

Answer:

Replace all occurrences of y with −5x+32 in each equation.

28x−160=22

y=−5x+32

Solve for x in the first equation.

x=13/2

y=−5x+32

Replace all occurrences of x with 13/2 in each equation.

y=−1/2

x=13/2

The solution to the system is the complete set of ordered pairs that are valid solutions. ( 13/2, −1/2 )

The result can be shown in multiple forms. Point Form: (13/2,−1/2)

Equation Form:

x=13/2, y=−1/2

Step-by-step explanation:

The value of x in the solution to given system of equations is 13/2

Here,

Given system of equations are;

3x - 5y = 22 -----(i)

y = -5x + 32 -----(ii)

What is system of equations?

A system of equations is a set of two or more equations with the same variables.

Now, in given system of equations put the value from (ii) in (i), we get

⇒ 3x - 5 (-5x + 32) = 22

⇒3x + 25x - 160 = 22

⇒28 x = 182

⇒ x = 182/28

⇒ x = 13/2

Hence, The value of x in the solution to given system of equations is 13/2.

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Answer:

Multiply the first equation by 5 and the second equation by 2. Then add.

Multiply the first equation by 2 and the second equation by 5, then subtract.

Step-by-step explanation:

Given

\(- 2x + 5y = -15\)

\(5x + 2y = -6\)

Required

Steps to solve using elimination method

From the list of given options, option 2 and 3 are correct

This is shown below

Option 2

Multiply the first equation by 5

\(5(- 2x + 5y = -15)\)

\(-10x + 25y = -75\)

Multiply the second equation by 2.

\(2(5x + 2y = -6)\)

\(10x + 4y = -12\)

Add

\((-10x + 25y = -75) + (10x + 4y = -12)\)

\(-10x + 10x + 25y +4y = -75 - 12\)

\(29y = -87\)

Notice that x has been eliminated

Option 3

Multiply the first equation by 2

\(2(- 2x + 5y = -15)\)

\(-4x + 10y = -30\)

Multiply the second equation by 5

\(5(5x + 2y = -6)\)

\(25x + 10y = -30\)

Subtract.

\((-4x + 10y = -30) - (25x + 10y = -30)\)

\(-4x + 25x + 10y - 10y= -30 +30\)

\(21x = 0\)

Notice that y has been eliminated

Answer:

How many solutions does the system have?

✔ exactly one

The solution to the system is

(

⇒ 0,

⇒ -3).

Step-by-step explanation:

the next two parts

Answer:

a

Step-by-step explanation:

a. 133.4

Answer:

A 113.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : here is an solution

The number of bundles that is used to make one block of the cardboard is given as follows:

24 bundles.

The number of bundles that is used to make one block of the cardboard is obtained applying the proportions in the context of the problem.

The length of each bundle is given as follows:

50 mm = 50 x 0.001 = 0.05m.

The length of the block is given as follows:

1.2 m.

Hence the number of bundles is given as follows:

1.2/0.05 = 24 bundles.

The complete problem is:

"The 150 mm bundles are stacked and tied into blocks that are 1,2 meters high. How many bundles are used to make one block of cardboard".

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Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

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Answer:

1/x = 1/4 + 1/3

Step-by-step explanation:

In 4 hours Bethany did the whole fraction 1 of the house.

In 1 hour he would do 1/4 of it.

In 3 hours Colin did the whole fraction 1 of the house.

In 1 hour he would do 1/3 of it.

In 1 hour they would both do (1/4 + 1/3)

If it takes both of them x hours to finish 1 whole fraction of the house.

In 1 hour they will both do 1/x

That means that:

1/x = 1/4 + 1/3

That is the equation. x can be solved for.

The final two equations which represent the given situation are:

2x - y = -6 and 3x - y = -5.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a linear equation of two variables.

Suppose,

The larger number is 'y' and the smaller number is 'x'.

First relation,

'y' is equal to twice the sum of a smaller number (x) and 3. So we represent this as:

y = 2(x+3)

y = 2x + 6

2x - y = -6                     ............(1)

Second relation,

The larger number (y) is equal to 5 more than 3 times the smaller number (x). So we represent this as:

y = 5 + 3x

3x - y = -5                     .............(2)

Hence, the final two equations which represent the given situation are:

2x - y = -6 and 3x - y = -5.

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The number of feet in the length of the handrail is 17.3 feet.

Pythagorean theorem, is a geometric theorem that the total of a squares on the sides of a right triangle equals the square upon that hypotenuse (a side opposite its right angle)—or, using familiar algebraic notation, the sum of squared on the hypotenuse equals the square also on hypotenuse.

H² = B² + P²

A spiral would be a shape that wraps around and around with each curve being higher or lower than the one before it.

Now, according to the question;

The simplest way to understand this is to assume that we may "unfold" this spiral to form a rectangle.

Its bottom part of rectangle is simply an arc length of a 3 ft radius circle spun around 270°= (3/4) of a full revolution.

Thus,

= (3/4)× (2\(\pi\)) ×(3)  

=  (9/2)×\(\pi\) ft

=   4.5×\(\pi\)  ft

The height of the staircase will be the side of rectangle = 10ft.

And the rectangle's diagonal will correspond to the length of a railing.

To solve this, we can apply the Pythagorean Theorem.

Handrail length = √ [ (4.5 ×\(\pi\))² + 10² ]  

Handrail length ≈  17.3 ft

Therefore, the the number of feet in the length of the handrail is 17.3 feet.

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The complete question is-

A spiral staircase turns 270° as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail?

This shows that the right-hand side (RHS) of the statement for k also holds for k + 1. Therefore, by mathematical induction, the statement is true for all positive integers.

To prove this statement using induction, we need to first establish the base case, and then show that if the statement holds for some arbitrary integer k, it also holds for k + 1.

Base case:

Let k = 1. Then we have:

lim(a_1 + b_1 + ... + z_1) = lim(a_1) + lim(b_1) + ... + lim(z_1)

which is just the definition of the limit.

Induction hypothesis:

Assume that the statement is true for some arbitrary integer k, that is:

lim(a_k + b_k + ... + z_k) = lim(a_k) + lim(b_k) + ... + lim(z_k)

Induction step:

We need to show that the statement also holds for k + 1, that is:

lim(a_k+1 + b_k+1 + ... + z_k+1) = lim(a_k+1) + lim(b_k+1) + ... + lim(z_k+1)

Starting with the left-hand side (LHS), we can rewrite it as:

lim(a_k+1 + b_k+1 + ... + z_k+1) = lim[(a_k + a_k+1) + (b_k + b_k+1) + ... + (z_k + z_k+1)]

Using the triangle inequality, we have:

|(a_k + a_k+1) + (b_k + b_k+1) + ... + (z_k + z_k+1)| ≤ |a_k + a_k+1| + |b_k + b_k+1| + ... + |z_k + z_k+1|

Now, since the statement holds for k, we have:

lim(a_k + b_k + ... + z_k) = lim(a_k) + lim(b_k) + ... + lim(z_k)

Therefore, for any ε > 0, there exists an integer N such that if n > N, we have:

|a_n + b_n + ... + z_n - (a_k + b_k + ... + z_k)| < ε

Similarly, we can choose ε' = ε/2k and use the statement for k to find an integer M such that if m > M, we have:

|a_m + b_m + ... + z_m - (a_1 + b_1 + ... + z_1)| < ε'

Then, for p = max{N, M}, we have:

|a_p + a_k+1 + b_p + b_k+1 + ... + z_p + z_k+1 - (a_1 + a_k+1 + b_1 + b_k+1 + ... + z_1 + z_k+1)|

≤ |a_p + b_p + ... + z_p - (a_k + b_k + ... + z_k)| + |a_m + b_m + ... + z_m - (a_1 + b_1 + ... + z_1)|

< ε/2k + ε/2 = ε

This shows that the right-hand side (RHS) of the statement for k also holds for k + 1. Therefore, by mathematical induction, the statement is true for all positive integers.

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EXPLANATION

In order to turn -2x + 10y = 2 into slope-intercept form:

First, as we know, the generic slope-intercept form is:

y= mx + b

where m is the slope and b is the y-intercept

Going back to our equation:

-2x + 10y = 2

Adding +2x to both sides:

-2x + 2x + 10y = 2 + 2x

Adding similar terms:

10y = 2 + 2x

Dividing both sides by 10:

10y/10 = 2/10 + 2x/10

Simplifying:

y = 1/5 + x/5 --> Slope-intercept form

Answer:

The points from the left;

71, 74 , 77, 80, 83, 86 , 89

Step-by-step explanation:

Here, we want to label the normal curve given the mean and the standard deviation

From what we have, the central part is the mean while the other parts are deviations from the mean

We will label the graph starting from the left to the right

1 is 3 SD from the mean (negatively)

That will be 80-3(3) = 80-9 = 71

2 is 2 SD away

That will be;

80 -2(3) = 80-6 = 74

The 3rd part is 1 SD away

That will be 80-3 = 77

The midpoint is for the mean which is 80

The point after this will be;

80 + 3 = 83

The point after this will be;

83 + 3 = 86

Next is

86 + 3 = 89

The required mixed number of 26/9 is given as  2 8/9.

A mixed number is a number that consists of a whole number and a proper fraction. It is written in the form "a b/c", where "a" is the whole number, "b" is the numerator of the proper fraction, and "c" is the denominator of the proper fraction.

Here,
To rewrite 26/9 as a mixed number, we need to divide the numerator (26) by the denominator (9) and express the result as a whole number and a proper fraction.

26 ÷ 9 = 2 with a remainder of 8

The whole number part is 2, and the proper fraction part is 8/9, since 8 is the remainder and 9 is the denominator.

Therefore, 26/9 as a mixed number is 2 8/9.

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The percentage of water in the mixture is 20%.

The dishonest milkman gains 25% by mixing water with his milk. Let's assume he sells 1 liter of milk at the cost price of x. Now, he mixes water with this 1 liter of milk. Let the quantity of water he adds be y liters. So, the total quantity of the mixture becomes 1 liter + y liters.

According to the question, the dishonest milkman gains 25% by selling this mixture. This means that the selling price of the mixture is 125% of the cost price. Therefore, the selling price of the mixture is 1.25x.

Since the dishonest milkman is selling the mixture at cost price, we can equate the selling price to the cost price. So, 1.25x = x + y.

Simplifying the equation, we get y = 0.25x.

Now, we need to find the percentage of water in the mixture. This can be calculated by dividing the quantity of water (y liters) by the total quantity of the mixture (1 liter + y liters) and multiplying by 100.

So, the percentage of water in the mixture is (y / (1 + y)) * 100 = (0.25x / (x + 0.25x)) * 100 = (0.25 / 1.25) * 100 = 20%.

Therefore, the percentage of water in the mixture is 20%.

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The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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The inequality in the box has to be written as

x² + 2x - 80 ≤ - 65

We have

(10 + x)1 * (16-2x) ≥ 130

Next we would have to open the bracket

160 + 16x - 20x - 2x² ≥ 130

Then we would have to arrange the equation

- 2x² - 4x + 160 ≥ 130

Divide the equation by two

- x² - 2x + 80 ≥ 65

This is arranged as

x² + 2x - 80 ≤ - 65

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Answer: Dude I would love to help you but I don't understand this and I'm good with math

Step-by-step explanation:

Answer:

x<4

Step-by-step explanation:

5x-18>2(4x-15)

5x-18> 8x-30

-18>3x-30

12>3x

4>x

x<4

Contribution margin is the excess of sales revenue over total variable costs. This means that all of the answer choices are correct.

Contribution margin is an important financial metric used in managerial accounting to assess the profitability of a company's products or services. It represents the amount of revenue available to cover fixed costs and contribute to the company's operating income. The contribution margin is calculated by subtracting the total variable costs from the sales revenue. Variable costs are expenses that vary directly with the level of production or sales, such as direct materials, direct labor, and variable overhead. Fixed costs, on the other hand, remain constant regardless of the level of production or sales. By analyzing the contribution margin, managers can make informed decisions regarding pricing strategies, product mix, and cost control measures. A higher contribution margin indicates that a greater portion of each sales dollar is available to cover fixed costs and generate profits. It is important for companies to maintain a healthy contribution margin to ensure their long-term financial viability.

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Answer:

see explanation

Step-by-step explanation:

part A

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (- 6, 11 ) → (6, 11 )

B (- 5, 6 ) → (5, 6 )

C (- 7, 1 ) → (7, 1 )

D (0, 8 ) → (0, 8 ) ← no change

part B

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 6, 11 ) → - 6, - 11 )

B (- 5, 6 ) → (- 5, - 6 )

C (- 7, 1 ) → (- 7, - 1 )

D (0, 8 ) → (0, - 8 )

Answer:

i cant see the picture

Step-by-step explanation: